BIT Numerical Mathematics

, Volume 48, Issue 2, pp 285–307 | Cite as

Blow up of incompressible Euler solutions

  • Johan HoffmanEmail author
  • Claes Johnson


We present analytical and computational evidence of blowup of initially smooth solutions of the incompressible Euler equations into non-smooth turbulent solutions. We detect blowup by observing increasing L 2-residuals of computed solutions under decreasing mesh size.

Key words

blowup of Euler solutions weak solution general Galerkin finite element method Clay millenium prize 


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Copyright information

© Springer Science + Business Media B.V. 2008

Authors and Affiliations

  1. 1.School of Computer Science and CommunicationRoyal Institute of TechnologyStockholmSweden

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